Dynamic Investigation of Area Conservation Properties Using Computer Technology in a Classroom Activity

The article presents some examples of plane geometric variance of an area with the use of computer technology. These tools can offer teachers opportunities for adaptation and preparation of pedagogical presentations which will help students along the process of fruitful conjectures formation and eve...

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Bibliographic Details
Published in:	International Journal for Technology in Mathematics Education Vol. 27; no. 4; pp. 219 - 225
Main Authors:	Oxman, Victor, Stupel, Moshe, Tal, ldan
Format:	Journal Article
Language:	English
Published:	Research Information Ltd 01-12-2020
Subjects:	Computer Software Computer Uses in Education Educational Technology Geometric Concepts Mathematical Logic Problem Solving Secondary School Mathematics Teaching Methods Validity
Online Access:	Get more information
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Summary:	The article presents some examples of plane geometric variance of an area with the use of computer technology. These tools can offer teachers opportunities for adaptation and preparation of pedagogical presentations which will help students along the process of fruitful conjectures formation and eventually construction of formal deductive proofs. Some of the examples are original. and all are beautiful and insightful. The mathematical proofs of the selected examples are very simple and do not require the use of any "heavy" mathematical tools. All the examples have links to applets prepared in GeoGebra-Tube. The consequences of all the examples can be formulized as mathematical propositions, and vice versa, meaning any mathematical proposition might demonstrate a situation of variance and invariance properties.
ISSN:	1744-2710
DOI:	10.1564/tme_v27.4.04